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<p><strong>911 Calls</strong></p> <p>A 911 service center recorded the number of calls received per hour. The number of calls per hour for one week can be approximated by the following probability distribution. </p> <table style="border-color: #0803fb; border-width: 2px;" border="2" rules="all" cellspacing="2" cellpadding="2" align="center"> <tbody> <tr> <td>«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»x«/mi»«/math»</td> <td style="text-align: center;">«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mn»0«/mn»«/math»</td> <td style="text-align: center;">«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mn»1«/mn»«/math»</td> <td style="text-align: center;">«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mn»2«/mn»«/math»</td> <td style="text-align: center;">«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mn»3«/mn»«/math»</td> <td style="text-align: center;">«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mn»4«/mn»«/math»</td> <td style="text-align: center;">«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mn»5«/mn»«/math»</td> <td style="text-align: center;">«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mn»6«/mn»«/math»</td> <td style="text-align: center;">«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mn»7«/mn»«/math»</td> </tr> <tr> <td>«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»P«/mi»«mfenced»«mi»x«/mi»«/mfenced»«/math»</td> <td style="text-align: center;">#a</td> <td style="text-align: center;">#b</td> <td style="text-align: center;">#c</td> <td style="text-align: center;">#d</td> <td style="text-align: center;">#e</td> <td style="text-align: center;">#f</td> <td style="text-align: center;">#g</td> <td style="text-align: center;">#h</td> </tr> </tbody> </table> <p> </p> <ol> <li>Find the mean of the probability distribution to three significant digits.<br />{1:SA:\*~=\#me}<br /><br /></li> <li>Find the variance of the probability distribution to three significant digits.<br />{1:SA:\*~=\#var}<br /><br /></li> <li>Find the standard deviation of the probability distribution to three significant digits<br />{1:SA:\*~=\#sd}<br /><br /></li> <li>Find the expected value of the probability distribution to three significant digits.<br />{1:SA:\*~=\#me}</li> </ol>
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Tuesday, 5 November 2013, 10:15 AM
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